Answer :


Area of the virtual image of each square, A = 6.25 mm2

Area of each square, A0 = 1 mm2

Hence, the linear magnification of the object can be calculated as:


Where, m = magnification

A = Area of virtual image

A0 = Area of each square

Putting values in equation (1) we get,

m =

m = 2.5


m = Image distance(v)/Object distance(u)

m = v/u

Therefore, v = m × u

= 2.5u …(2)

The magnifying glass has a focal length of, f = 10 cm

Applying the lens formula for lens we have:


Where, f0 = focal length of the objective lens

v0 = Distance of image formation

u0 = Distance of object from objective

Putting values in the equation (3) we get,

u = -(1.5 × 10) / 2.5

Therefore, u = -6 cm

And v = 2.5u

v = 2.5 × 6

v = -15 cm

The virtual image cannot be seen by the eyes distinctly, because the image is formed at a distance of 15 cm, which is less than the near point (i.e. 25 cm) of a normal eye.

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